Question

Which values are solutions to the inequality below?Check all that apply.X-S64E. -14

Answer 1

Hey that's really easy :)

We gonna do it together.

x² ≤ 64

We need to find the critical points of the inequality

x² = 64

Now take the square root of 64

x = +/- √64

x= 8 or x=-8

D and F are the correct choices :)

I hope that's help:)

Please let me know by rating my answer :)

Answer 2

The answer is -8 and 8 and anything in between them. So 5 and -3.

First I subtracted 68 and made it into an equation. So x^2-64=0 then you factor it into (x+8)(x-8)=0

then put -8 and 8 on a number line with closed dots above them (because it's greater than or EQUAL to, so -8 and 8 are already answers.) then take a number that's greater then -8 (I used -9) and sub it into the original equation. You'll get 81 which doesn't work because 81 isn't greater than or equal to 64. Then plug in 0 (it works) so any numbers in between -8 and 8 are in the solution. Lastly plug in 9 and it doesn't work. So your solution is -8, 8, and every number in between.